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Finding the Fourth Proportional to 804.92, 1,110.81 and 446.01

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Solution

The fourth proportional to 804.92, 1,110.81 and 446.01 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.92 : 1,110.81 = 446.01 : x
  2. Step 2: Convert to fraction form
    804.92/1,110.81 = 446.01/x
  3. Step 3: Cross multiply
    804.92x = 1,110.81 × 446.01
  4. Step 4: Simplify right side
    804.92x = 495,432.37
  5. Step 5: Solve for x
    x = 495,432.37/804.92
  6. Step 6: Final answer
    x = 615.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.